On Sobolev orthogonal polynomials

被引：105
作者：
Marcellan, Francisco [1 ,2 ]
Xu, Yuan [3 ]
机构：
[1] Univ Carlos III Madrid, Inst Ciencias Matemat ICMAT, Leganes 28911, Spain
[2] Univ Carlos III Madrid, Dept Matemat, Leganes 28911, Spain
[3] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
EXPOSITIONES MATHEMATICAE | 2015年 / 33卷 / 03期
基金：
美国国家科学基金会;
关键词：
Orthogonal polynomials; Sobolev orthogonal polynomials; Approximation by polynomials;
D O I：
10.1016/j.exmath.2014.10.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sobolev orthogonal polynomials have been studied extensively in the past quarter-century. The research in this field has sprawled into several directions and generates a plethora of publications. This paper contains a survey of the main developments up to now. The goal is to identify main ideas and developments in the field, which hopefully will lend a structure to the mountainous publications and help future research. (C) 2014 Elsevier GmbH. All rights reserved.
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收藏
页码：308 / 352
页数：45
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